795 citations · 1.4k across the 64 of their papers we have counts for
Showing 2016 · math.NAShow all
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math.NA2016★ 7 cited
Frames and numerical approximation
Ben Adcock, Daan Huybrechs
Functions of one or more variables are usually approximated with a basis: a complete, linearly-independent system of functions that spans a suitable function space. The topic of th…
math.NA2016★ 4 cited
Optimal sampling rates for approximating analytic functions from pointwise samples
Ben Adcock, Rodrigo Platte, Alexei Shadrin
We consider the problem of approximating an analytic function on a compact interval from its values at distinct points. When the points are equispaced, a recent result (the s…
math.NA2016
Computing reconstructions from nonuniform Fourier samples: Universality of stability barriers and stable sampling rates
Ben Adcock, Milana Gataric, José Luis Romero
We study the problem of recovering an unknown compactly-supported multivariate function from samples of its Fourier transform that are acquired nonuniformly, i.e. not necessarily o…